THE MATHEMATICS PROGRAM
Two mathematics degrees are offered at BYU-Idaho: a Bachelor of Science degree in Mathematics Education (850) and a Bachelor of Science degree in Applied Mathematics (650). For Secondary Education majors a minor in Mathematics Education (120) is offered. For students in other majors a minor in Mathematics (119) is offered.

As a mathematics faculty we are committed to providing students with quality mathematical instruction and timely academic advising. If students need help acquiring basic mathematical skills, we offer multiple sections of intermediate algebra each semester. Our department also takes primary responsibility for the administration of the mathematics graduation requirement at BYU-Idaho.

Additionally, we strive to: 1) Exemplify and foster Christ-like attributes, 2) Promote the learning of mathematical ideas by the Spirit, which can quicken students' understanding and enlarge their natural capacities, 3) Prepare students to be mathematically competent as teachers or as professionals in industries that rely on quantitative analysis and synthesis, 4) Cultivate in students an appreciation for the beauty, utility, power, and language of mathematics, 5) Inspire students to pursue intellectual goals long after their formal education is completed.

Program Description

B.S. in Applied Mathematics (650)Students of applied mathematics can find employment in business, industry, and government or further educational opportunities in fields such as statistics, law, medicine, or business administration. This broad spectrum of career possibilities reflects the remarkable success applied mathematics has had in generating solutions to real-world problems through the formulation, testing, and application of mathematical models.

The Applied Mathematics degree at BYU-Idaho explores the mathematical theories needed to analyze, model, and solve a wide variety of problems. Courses in mathematical modeling, numerical methods, and statistical analysis provide students with the basic tools of applied mathematics. Students minor in a field of their choice, better enabling them to understand and solve problems specific to that field. An internship or capstone project during their senior year give students valuable experience applying mathematics in a realistic venue.

As a General Education course in Computer Science (CS 100) is somewhat basic, Mathematics Majors will be allowed to use CS 144 to meet the Basic Skills requirement for General Education.

Math 101 may be used as meeting the Math General Education requirement if all of the following criteria are met: 1)Student was enrolled and completed Math 101 prior to Fall 2001; 2)The student's major does not require a higher math class; 3)There is no break in enrollment.

Students initiating their studies at BYU-Idaho Fall Semester 2001 or later are not eligible for the ACT math waiver and must take one of the following courses to fill the math requirement.

B.S. in Math Education (850)The need for quality mathematics teachers in secondary education has become more acute as individuals are required to deal with the quantitative challenges of our information age. The growing complexity of tasks in the workplace and the increasing reliance on technical analysis is straining the analytic skills of the average worker. Across the country, the success of many rests upon the effectiveness of mathematics education.

The Mathematics Education degree at BYU-Idaho enables students to certify as secondary mathematics teachers and gain the confidence needed to succeed in the classroom. We prepare our students to make a significant contribution to the overall quantitative literacy of our communities through professional, inspired teaching. The B.S. degree in Mathematics Education provides the academic content and pedagogical experiences necessary to be successful in the junior high or senior high school classroom.

For a listing of approved Secondary Education majors and minors see the Teacher Education section of this catalog.

Math 101 may be used as meeting the Math General Education requirement if all of the following criteria are met: 1)Student was enrolled and completed Math 101 prior to Fall 2001; 2)The student's major does not require a higher math class; 3)There is no break in enrollment.

Students initiating their studies at BYU-Idaho Fall Semester 2001 or later are not eligible for the ACT math waiver and must take one of the following courses to fill the math requirement.

Note that Math 111 may NOT be taken after Math 112. Students who have received vertical credit for Math 111 or who have taken AP Calculus are required to take Math 300.Take these CoursesMinimum Grade: C-MATH 112, 113, 221, 280, 301, 302, 440, 460, 490

Minor in Mathematics (119)
The Mathematics (119) minor may be chosen by students who are not preparing to be teachers.

No Double Counting of Minor Courses(A course taken for one of the categories listed below cannot be used for a second category. Please refer to the prerequisites and course descriptions when choosing courses.)Take this CourseMinimum Grade: C-MATH 112

For a listing of approved Secondary Education majors and minors see the Teacher Education section of this catalog.

(Note that Math 111 may NOT be taken after Math 112. Students who have received vertical credit for Math 111 or who have taken AP Calculus are required to take Math 440 for 4 credits.)Take these CoursesMinimum Grade: C-MATH 112, 113, 301, 302, 490

AND

Choose either Option A or Option BOption A:(Students choosing this option must take Math 440 for 4 credits.)Take 4 CreditsMATH 440

OROption B:(Students choosing this option must take Math 440 for 2 credits.)Take these CoursesMATH 111, 440

Prerequisite: Ability to demonstrate proficiency in first-year algebra or Math 100B with a grade of "B" or higher.

Fundamental operations of algebra, properties of exponents, solving linear, fractional, radical and quadratic equations, graphing linear and quadratic functions. Math 101 may not be taken for credit if Math 110 has been completed with a grade of "B" or higher.
(Winter, Summer, Fall)

Prerequisite: Math 100B with a grade of "B" or higher or one year of high school algebra.

Exploration of contemporary mathematical reasoning covering topics such as logic, problem solving, finance math, linear and exponential modeling, probability and statistics. Will satisfy both the BYU-Idaho and Idaho Core math requirements. Will not serve as a prerequisite for college algebra, trigonometry, or any calculus-based courses.
(Winter, Summer, Fall)

Prerequisite: Two years of high school algebra or Math 101 with a grade of "B" or higher. You must also achieve a satisfactory score on the placement exam. The placement exam will cover topics from high school algebra II and will be offered during the first week of class. A practice exam is available on the web.

Intended to prepare students for Calculus or other math and science courses. Elementary analysis of functions having discrete or connected domains. Theory of equations and methods for solving them. Additional topics from analytic geometry, combinatorics, and/or probability may be included.
(Winter, Summer, Fall)

Prerequisite: Math 110 and Math 111 or high school or college preparation in Algebra and Trigonometry (or in Precalculus) equivalent to Math 110 and Math 111. For more information, the student should consult with the instructor or an adviser in the Mathematics Department. Students entering Calculus I are expected to know how to use those features of their graphing calculators that are typically used in precalculus courses.

Limits, continuity, derivatives, integrals, and transcendental functions. Properties and applications of the above.

Prerequisite: Math 112 or the equivalent. Students entering Calculus II may be expected to know how to use those features of their graphing calculators that are typically used in first semester calculus courses.

Techniques of integration, infinite sequences and series, polar coordinates, and parametric curves. Math 113 and Math 215 cannot both be taken for credit.
(Winter, Fall)

A one-semester terminal course of single and multi-variable calculus designed primarily for students in biology, agriculture, and business. Topics include derivatives, integrals, and applications.
(Winter, Summer, Fall)

Prerequisite: Math 113 or concurrent enrollment in Math 113 and the consent of the instructor.

Intended for those students majoring in Mathematics Education. This class presents historical topics that teachers can use in their math classrooms. This course introduces mathematical ideas and problem-solving strategies that have evolved from ancient times to the present.

Prerequisite: At least 30 credits plus a passing score on the prerequisite exam. You must pass the exam during the semester before you take 305. Check the web for exam dates. http://www2.byui.edu/insttech/mathtest.htm

This course is for Elementary Education majors. The content focuses on important mathematical ideas and their interrelationships. Problem solving, sets, functions, systems of numeration, operations on whole numbers, integers and rational numbers, the real number system, and number theory are included.
(Winter, Summer, Fall)

Matrices, determinants, eigenvalues and eigenvectors, first and second order ordinary differential equations, power series and Fourier series methods, systems of linear ordinary differential equations, introduction to numerical solution of the above. Emphasis on methods and applications. Math 316 and Math 371 cannot both be taken for credit.
(Winter, Fall)

Methods and theory of ordinary differential equations with applications. Differential operators, systems of linear ODEs, Laplace transforms and series methods. Math 371 and Math 316 cannot both be taken for credit.
(Winter)

This course is for secondary education majors and minors. The course takes many of the topics taught in high school or junior high school math classes and treats those topics from a more advanced standpoint. In addition, topics from abstract algebra as they relate to teaching in the secondary schools will be addressed.
(Fall)

Intended for those majoring in mathematics education. This course reveals the theoretical underpinnings of the topics taught in first and second semester calculus. Topics will include epsilon-delta proofs, intermediate and mean value theorems, the fundamental theorems of calculus, differentiation, integration, infinite series, Taylor series, and how to teach calculus concepts to secondary school students.
(Winter, Summer)

This course is designed to help preservice secondary mathematics teachers apply research-based teaching strategies that lead students to discover, create, appreciate, and utilize mathematics. Students will have many opportunities to teach, prepare lesson plans, learn how to organize and manage classrooms, and gain a knowledge of state and professional standards for secondary mathematics teachers.
(Winter, Fall)

The content of this class will be determined by the department and the instructor, based on student need and interest. Some possible subjects are: Number Theory, Topology, Complex Variables, and Actuarial Science.
(Winter even years)